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Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7

Author

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  • Elwakil, A.S.
  • Agambayev, A.
  • Allagui, A.
  • Salama, K.N.

Abstract

The purpose of this work is to provide an experimental demonstration for the development of sinusoidal oscillations in a fractional-order Hartley-like oscillator. Solid-state fractional-order electric double-layer capacitors were first fabricated using graphene-percolated P(VDF-TrFE-CFE) composite structure, and then characterized by using electrochemical impedance spectroscopy. The devices exhibit the fractional orders of 0.6 and 0.74 respectively (using the model Zc=Rs+1/(jω)αCα), with the corresponding pseudocapacitances of approximately 93nFsec−0.4 and 1.5nFsec−0.26 over the frequency range 200kHz–6MHz (Rs < 15Ω). Then, we verified using these fractional-order devices integrated in a Hartley-like circuit that the fractional-order oscillatory behaviors are of orders 2.6 and 2.74.

Suggested Citation

  • Elwakil, A.S. & Agambayev, A. & Allagui, A. & Salama, K.N., 2017. "Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 160-164.
    • Handle: RePEc:eee:chsofr:v:96:y:2017:i:c:p:160-164
    DOI: 10.1016/j.chaos.2017.01.017
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    References listed on IDEAS

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    1. Chen, Liping & Pan, Wei & Wu, Ranchao & Wang, Kunpeng & He, Yigang, 2016. "Generation and circuit implementation of fractional-order multi-scroll attractors," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 22-31.
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